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Mathematics Past Questions

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48 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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Past Questions

48 questions

Question 1 of 20 48 total questions

Question 1

jamb 1978

In the figure, 0 is the centre of the circle ABC, < CED = 30o, < EDA = 40o. What is the size of < ABC?

A70^o

B110^o

C130^o

D125^o

E145^o

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Question 2

jamb 1978

In the Figure FD\\AC, the area of AEF = 6sq.cm. AE = 3cm, BC = 3cm, CD = 5cm, < BCD is an obtuse angle. Find the length of BD.

A\(\sqrt{33}\)

D2\(\sqrt{13}\)

E4\(\sqrt{5}\)

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Question 3

jamb 1978

In the figure, AB is parallel to CD then x + y + z is

A185^o

B200^o

C270^o

D360^o

E195^o

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Question 4

jamb 1978

In the figure, DE//BC: DB//FE: DE = 2cm, FC = 3cm, AE = 4cm. Determine the length of EC.

A4cm

B6cm

C3cm

D2cm

E1cm

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Question 5

jamb 1978

The smallest number such that when it is divided by 8 has a remainder of 6 and when it is divided by 9, has a remainder of 7 is

A387

B493

C502

D441

E634

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Question 6

jamb 1978

Add the same number to the numerator and denominator of \(\frac{3}{18}\). If the resulting fraction is \(\frac{1}{2}\), then the number added is

A13

B14

C15

D12

E11

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Question 7

jamb 1978

The vectors a and b are given in terms of two perpendicular units vectors i and j on a plane by a = 2i - 3j, b = -i + 2j. Find the magnitude of the vector a + 3b

C\(\sqrt{10}\)

D35

E2.2

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Question 8

jamb 1978

The angle of elevation of the top of a vertical tower from a point A on the ground is 60o. From a point B, 2 units of distance further away from the foot of the tower, the angle of elevation of the tower is 45o. Find the distance of A from the foot of the tower

A3 + \(\sqrt{3}\)

B5 + \(\sqrt{3}\)

C3 - \(\sqrt{3}\)

E\(\sqrt{3}\) + 1

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Question 9

jamb 1978

Evaluate without using tables sin(-1290º)

A\(\frac{3}{2}\)

B-\(\frac{3}{2}\)

C\(\frac{2}{2}\)

E\(\frac{1}{2}\)

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Question 10

jamb 1978

Simplify \(\frac{(a - \frac{1}{a}) (a^{\frac{4}{3}} + \frac{1}{a^{\frac{2}{3}}})}{a^2 - (\frac{1}{a})^2}\)

Aa^{\(\frac{2}{3}\)}

Ba^{-\(\frac{1}{3}\)}

C\(a^{2}\) + 1

Ea^{\(\frac{1}{3}\)}

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Question 11

jamb 1978

Without using tables, simplify \(\frac{1n \sqrt{216} - 1n \sqrt{125} - 1n\sqrt{8}}{2(1n3 - 1n5)}\)

A-3

C\(\frac{3}{5}\)

D\(\frac{-3}{2}\)

E1n 6 - 2 1n 5

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Question 12

jamb 1978

The locus of all points having a distance of 1 unit from each of the two fixed points a and b is

Aa line parallel to the line ab

Ba line perpendicular to the line ab through the mid-point of ab

Ca circle through a and b with centre at the mid-point of ab

Da circle with centre at a and passes through b

Ea circle in a plane perpendicular to ab and centre at the mid-point of the line ab

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Question 13

jamb 1978

Assuming loge 4.4 = 1.4816 and loge 7.7 = 2.0142, then the value of loge \(\frac{7}{4}\) is

A0.5326

B3.4958

C0.4816

D0.0142

E1.3594

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Question 14

jamb 1978

If (25)\(^{x - 1}\) = 64(\(\frac{5}{2}\))\(^6\), then x has the value

C32

D64

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Question 15

jamb 1978

Two triangles have the same areas if

Atwo sides in one triangle are equal to two sides in the other

Bthree sides in one triangle are equal to three sides in the other

Ctwo angles in the triangle are equal to two angles in the other

Dthree angles in one triangle are equal to three angles in the other

Eone side and the opposite angle in one triangle are equal to one side and the opposite angle in the other

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Question 16

jamb 1978

The quantity (x + y) is a factor of

Ax² + y²

Bx³ - y³

C2x² - 3xy + y² - x + 1

D2x³ + 2x²y - xy + 3x - y² + 3y

Ex⁵ - y⁵

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Question 17

jamb 1978

A solid sphere of radius 3cm, a solid right cone of radius 3cm and height 12cm and a solid right circular cycular of radius 3cm and height 4cm.Which of the following statements is true?

Athe volume of the sphere is greater than the volume of the cone

Bthe volume of the cone is less than the volume of the cylinder

Cthe total surface area of the cone is greater than that of the sphere

DThe total surface area of the cylinder is less than that of the sphere

Ethe total sufeac area of the cone is equal to that of the cylinder

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Question 18

jamb 1978

The set of value of x and y which satisfies the equations x² - y - 1 = 0 and y - 2x + 2 = 0 is

A1, 0

B1, 1

C2, 2

D0, 2

E1, 2

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Question 19

jamb 1978

If sec\(^2\) \(\theta\) + tan\(^2\) \(\theta\) = 3, then the angle \(\theta\) is equal to

A30^o

B45^o

C60^o

D90^o

E105^o

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Question 20

jamb 1978

In a soccer competition in one season, a club had scored the following goals: 2, 0, 3, 3, 2, 1, 4, 0, 0, 5, 1, 0, 2, 2, 1, 3, 1, 4, 1 and 1. The mean, median and mode are respectively

A1, 1.8 and 1.5

B1.8, 1.5 and 1

C1.8, 1 and 1.5

D1.51, 1 and 1.8

E1.5, 1.8 and 1

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